Question

Which of the following operations satisfy the closure property in case of whole numbers?

• A. Addition
• B. Subtraction
• C. Multiplication
• D. Division

Answer 1

Answer: (A), (C)

The correct options are
A Addition
C Multiplication

Let's understand this by example:-
Taking two whole numbers 2 and 3
Addition:-
2+3 = 5 (A whole number)
Subtraction:-
2-3 = -1 (Not a whole number)
Multiplication:-
$2\times 3$ = 6 (A whole number)
Division:-
$\frac{2}{3}$ is clearly not a whole number.
Closure property states that the result of an operation must also belong to the same set of numbers taken under consideration.
Hence, only addition and multiplication satisfies closure property.